225362046 has 64 divisors (see below), whose sum is σ = 557899776. Its totient is φ = 59097600.

The previous prime is 225362041. The next prime is 225362063. The reversal of 225362046 is 640263522.

It is a super-2 number, since 2×225362046² = 101576103554612232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225362041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103206 + ... + 105366.

It is an arithmetic number, because the mean of its divisors is an integer number (8717184).

Almost surely, 2^225362046 is an apocalyptic number.

225362046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225362046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278949888).

225362046 is an abundant number, since it is smaller than the sum of its proper divisors (332537730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225362046 is a wasteful number, since it uses less digits than its factorization.

225362046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 225362046 is about 15012.0633491869. The cubic root of 225362046 is about 608.5462524261.

The spelling of 225362046 in words is "two hundred twenty-five million, three hundred sixty-two thousand, forty-six".